STUDENT PLANNER 2012 Topic: LINEAR GRAPHS (Chapter 4) NAME: Remember you must do all the tasks in RED Mymathsonline.com.au username - mentone password - linear Log on to mymathsonline.com - there is three homework tasks you all must do
In this topic you will explore the following concepts Plotting points, y-intercept, sketching linear graphs using the gradient-intercept method, sketching linear graphs using x-intercept and y-intercept method
VOCABULARY: Cartesian plane, co-ordinates, linear, linear graph, plotting, quadrants, slope, rise , gradient, y-intercept, x-intercept, substitute, x-axis, y-axis, origin, sketch run dependent and independent variables
Abbreviations eso – every second one LHS – left hand side RHS – right hand side CAS – graphics calculator
Classroom Activities For everyone!
Working At Level
Working Above Level
1
Introduction to Linear Graphs Investigating the Cartesian co-ordinate system using the CLASSPAD calculators
handout - An investigation of the Cartesian Co-ordinate System
Worksheet 98 & 99
Linear Graphs Pre-Test Start working on the Exercise as determined by the Pre-test
2
Plotting Graphs - Pretest (optional) - Substituting practice - Identifying linear graphs - Plotting from a rule - Plotting graphs
Notes: cover Plotting points Substituting Identifying linear graphs Quadrants
Skillsheet 4.2 & 4.3
Worked Examples Pg 166 Ex 4B Q1ab, Q2eso, Q3, Q4
+ Worksheet 106
3
General equation of a straight line - The gradient
- The y-intercept
Notes: cover General equation of straight line with ‘m’ as gradient and ‘c’ and y-intercept m = Rise ÷ Run m = (y2 – y1) ÷ (x2 – x1)
Notes & Worked Examples Pg 172 Ex 4C Q1abcdgj Q2adgj Q3abcdef
Notes & Worked Examples Pg 173 Ex 4C Q5adgj Q6, Q9
+ Skillsheet 4.7 + Worksheet 103 + Worksheet 100
4
Consolidation - Time to catch up on exercises if need be
5
Sketching Linear Graphs - Passing through the origin - Gradient & y-intercept method - x & y intercept method - Vertical and horizontal lines
Notes & Worked examples
Pg178 Ex 4D Q5 Pg178 Ex 4D Q2adg, Pg178 Ex 4D Q1aei Pg178 Ex 4D Q3ab, Q4abcd,Q6
Skill Sheet 4.10
+ Skill Sheet 4.10 + Worksheet 101 + Worksheet 107 + Puzzle Sheet 8.4 ‘What was produced by Kato of Japan in 1901?’
6
Determining Linear Rules - given gradient and y-intercept - given gradient and one co-ordinate - given two co-ordinates
Notes & Worked examples
Pg 181 Ex 4E Q1ace Pg 181 Ex 4E Q2ad, Q3aceg, Q4ac Pg 182 Ex 4E Q5ace, Q6ace,Q7ace
Puzzle Sheet 8.5 ‘Christmas Day 1859’ Cat and Mouse Problem Worksheet 104 Linear Rules
7
Consolidation - time to catch up on exercises
Start revising for the test. (30 minutes)
Worksheet 105
8
Applications of Linear Graphs to worded problems - dependent and independent variables
Notes & Worked examples
Pg188 Ex 4F Q1, Q2
Pg188 Ex 4F Q7, Q8, Q11, Q12
Graphing Inequations Pg 194 Ex 4G Q1, Q2, Q3eso Simultaneous Equations Pg 199 Ex 4H Q2, Q4, Q6 Chapter Review and Own Revision @ home
9
Group Investigation (Assessment) - predictions - dependent and independent variables - tabulating results, averages & graphing - spreadsheets and ICT
Topic 3 Linear Graphing
STUDENT PLANNER 2012 Topic: LINEAR GRAPHS (Chapter 4) NAME: Remember you must do all the tasks in RED
Mymathsonline.com.au
username - mentone
password - linear
Log on to mymathsonline.com - there is three homework tasks you all must do
Plotting points, y-intercept, sketching linear graphs using the gradient-intercept method, sketching linear graphs using x-intercept and y-intercept method
dependent and independent variables
eso – every second one
LHS – left hand side RHS – right hand side
CAS – graphics calculator
For everyone!
Investigating the Cartesian co-ordinate system using the CLASSPAD calculators
Start working on the Exercise as determined by the Pre-test
- Pretest (optional)
- Substituting practice
- Identifying linear graphs
- Plotting from a rule
- Plotting graphs
Plotting points
Substituting
Identifying linear graphs
Quadrants
Worked Examples
Pg 166
Ex 4B Q1ab, Q2eso, Q3, Q4
- The gradient
- The y-intercept
General equation of straight line with ‘m’ as gradient and ‘c’ and y-intercept
m = Rise ÷ Run
m = (y2 – y1) ÷ (x2 – x1)
Pg 172 Ex 4C Q1abcdgj
Q2adgj Q3abcdef
Notes & Worked Examples
Pg 173 Ex 4C Q5adgj Q6, Q9
+ Worksheet 103
+ Worksheet 100
- Time to catch up on exercises if need be
- Passing through the origin
- Gradient & y-intercept method
- x & y intercept method
- Vertical and horizontal lines
Pg178 Ex 4D Q2adg,
Pg178 Ex 4D Q1aei
Pg178 Ex 4D Q3ab, Q4abcd,Q6
Skill Sheet 4.10
+ Worksheet 101
+ Worksheet 107
+ Puzzle Sheet 8.4
‘What was produced by Kato of Japan in 1901?’
- given gradient and y-intercept
- given gradient and one co-ordinate
- given two co-ordinates
Pg 181 Ex 4E Q2ad, Q3aceg, Q4ac
Pg 182 Ex 4E Q5ace, Q6ace,Q7ace
Cat and Mouse Problem
Worksheet 104 Linear Rules
- time to catch up on exercises
- dependent and independent variables
Graphing Inequations
Pg 194 Ex 4G Q1, Q2, Q3eso
Simultaneous Equations
Pg 199 Ex 4H Q2, Q4, Q6
Chapter Review and Own Revision @ home
- predictions
- dependent and independent variables
- tabulating results, averages & graphing
- spreadsheets and ICT